Use the applet entitled Random Numbers to generate a list of 25 numbers between 1 and 3, inclusive. Let x represent a number chosen from this list.

a. What are the possible values of x?

b. Give the probability distribution for x in table form.

c. Let y be a number randomly chosen from the set 51, 2, 36. Give the probability distribution for y in table form.

d. Compare the probability distributions of x and y in parts b and c. Why should these distributions be approximately the same?